Setup above Pool Level using Zuider Zee Formula Calculator

✖Wind Velocity is an air moving from high to low pressure, usually due to changes in temperature that is the horizontal movement of air specified by its speed and direction.ⓘ Wind Velocity [V_w]			+10% -10%
✖Fetch Length is the horizontal distance over which wave-generating winds blow.ⓘ Fetch length [F]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%

✖Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Setup above Pool Level using Zuider Zee Formula [h_a]

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Formula

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Setup above Pool Level using Zuider Zee Formula

Formula

`"h"_{"a"} = (("V"_{"w"}*"V"_{"w"})*"F"*cos("θ"))/(1400*"d")`

Example

`"11.10936m"=(("20m/s"*"20m/s")*"44m"*cos("30°"))/(1400*"0.98m")`

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Setup above Pool Level using Zuider Zee Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth)
h_a = ((V_w*V_w)*F*cos(θ))/(1400*d)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Height of Wave - (Measured in Meter) - Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Wind Velocity - (Measured in Meter per Second) - Wind Velocity is an air moving from high to low pressure, usually due to changes in temperature that is the horizontal movement of air specified by its speed and direction.
Fetch length - (Measured in Meter) - Fetch Length is the horizontal distance over which wave-generating winds blow.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Wind Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Fetch length: 44 Meter --> 44 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Water Depth: 0.98 Meter --> 0.98 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_a = ((V_w*V_w)*F*cos(θ))/(1400*d) --> ((20*20)*44*cos(0.5235987755982))/(1400*0.98)

Evaluating ... ...

h_a = 11.1093637803252

STEP 3: Convert Result to Output's Unit

11.1093637803252 Meter --> No Conversion Required

FINAL ANSWER

11.1093637803252 ≈ 11.10936 Meter <-- Height of Wave

(Calculation completed in 00.020 seconds)

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< 6 Zuider zee formula Calculators

Zuider Zee Formula for Fetch Length given Setup above Pool Level

Go Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth))

Zuider Zee formula for Average depth of Water given Setup above Pool level

Go Water Depth = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Height of Wave)

Setup above Pool Level using Zuider Zee Formula

Go Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth)

Angle of Incidence of Waves by Zuider Zee formula

Go Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length))

Height of Wave from Trough to Crest given Height of Wave Action by Zuider Zee Formula

Go Wave Height = Height of Wave/(0.75+1.5*(Wind Velocity^2)/(2*[g]))

Height of Wave Action using Zuider Zee Formula

Go Height of Wave = Wave Height*(0.75+1.5*(Wind Velocity^2)/(2*[g]))

Setup above Pool Level using Zuider Zee Formula Formula

Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth)
h_a = ((V_w*V_w)*F*cos(θ))/(1400*d)

What is Freeboard?

Freeboard (sometimes termed net freeboard) is the vertical distance between the maximum water surface of the spillway design flood and the crown of the dam. This vertical distance should be ample to prevent overtopping of the dam due to wind setup and wave action.

How to Calculate Setup above Pool Level using Zuider Zee Formula?

Setup above Pool Level using Zuider Zee Formula calculator uses Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth) to calculate the Height of Wave, The Setup above Pool Level using Zuider Zee Formula is used to calculate the height above the freeboard of the analysis. Height of Wave is denoted by h_a symbol.

How to calculate Setup above Pool Level using Zuider Zee Formula using this online calculator? To use this online calculator for Setup above Pool Level using Zuider Zee Formula, enter Wind Velocity (V_w), Fetch length (F), Theta (θ) & Water Depth (d) and hit the calculate button. Here is how the Setup above Pool Level using Zuider Zee Formula calculation can be explained with given input values -> 11.10936 = ((20*20)*44*cos(0.5235987755982))/(1400*0.98).

FAQ

What is Setup above Pool Level using Zuider Zee Formula?

The Setup above Pool Level using Zuider Zee Formula is used to calculate the height above the freeboard of the analysis and is represented as h_a = ((V_w*V_w)*F*cos(θ))/(1400*d) or Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth). Wind Velocity is an air moving from high to low pressure, usually due to changes in temperature that is the horizontal movement of air specified by its speed and direction, Fetch Length is the horizontal distance over which wave-generating winds blow, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Setup above Pool Level using Zuider Zee Formula?

The Setup above Pool Level using Zuider Zee Formula is used to calculate the height above the freeboard of the analysis is calculated using Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth). To calculate Setup above Pool Level using Zuider Zee Formula, you need Wind Velocity (V_w), Fetch length (F), Theta (θ) & Water Depth (d). With our tool, you need to enter the respective value for Wind Velocity, Fetch length, Theta & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Wave?

In this formula, Height of Wave uses Wind Velocity, Fetch length, Theta & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Wave = Wave Height*(0.75+1.5*(Wind Velocity^2)/(2*[g]))

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